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6344249620 = 2252347928793
BaseRepresentation
bin1011110100010010…
…11001000100010100
3121101010211021101011
411322021121010110
5100443111441440
62525311142004
7313134142402
oct57211310424
917333737334
106344249620
112766188705
121290814904
137a14ba777
14442820472
15271e879ea
hex17a259114

6344249620 has 48 divisors (see below), whose sum is σ = 13931688960. Its totient is φ = 2422213376.

The previous prime is 6344249609. The next prime is 6344249711. The reversal of 6344249620 is 269424436.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 205944 + ... + 234736.

It is an arithmetic number, because the mean of its divisors is an integer number (290243520).

Almost surely, 26344249620 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6344249620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6965844480).

6344249620 is an abundant number, since it is smaller than the sum of its proper divisors (7587439340).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6344249620 is a wasteful number, since it uses less digits than its factorization.

6344249620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29304 (or 29302 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 40.

The square root of 6344249620 is about 79650.7979872142. The cubic root of 6344249620 is about 1851.2287546670.

The spelling of 6344249620 in words is "six billion, three hundred forty-four million, two hundred forty-nine thousand, six hundred twenty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 460 479 958 1916 2395 4790 9580 11017 22034 28793 44068 55085 57586 110170 115172 143965 220340 287930 575860 662239 1324478 2648956 3311195 6622390 13244780 13791847 27583694 55167388 68959235 137918470 275836940 317212481 634424962 1268849924 1586062405 3172124810 6344249620